Informational Measure of Symmetry vs. Voronoi Entropy and Continuous Measure of Entropy of the Penrose Tiling. Part II of the “Voronoi Entropy vs. Continuous Measure of Symmetry of the Penrose Tiling”

The notion of the informational measure of symmetry is introduced according to: Hsym(G)=−∑i=1kP(Gi)lnP(Gi), where P(Gi) is the probability of appearance of the symmetry operation Gi within the given 2D pattern. Hsym(G) is interpreted as an averaged uncertainty in the presence of symmetry elements from the group G in the given pattern. The informational measure of symmetry of the “ideal” pattern built of identical equilateral triangles is established as Hsym(D3)= 1.792. The informational measure of symmetry of the random, completely disordered pattern is zero, Hsym=0. The informational measure of symmetry is calculated for the patterns generated by the P3 Penrose tessellation. The informational measure of symmetry does not correlate with either the Voronoi entropy of the studied patterns nor with the continuous measure of symmetry of the patterns. Quantification of the “ordering” in 2D patterns performed solely with the Voronoi entropy is misleading and erroneous.

Informational Measure of Symmetry vs. Voronoi Entropy and Continuous Measure of Entropy of the Penrose Tiling. Part II of the “Voronoi Entropy vs. Continuous Measure of Symmetry of the Penrose Tiling”.

The notion of the informational measure of symmetry is introduced according to: HsymG=-i=1kPGilnPGi, where PGi is the probability of appearance of the symmetry operation Gi within the given 2D pattern. HsymG is interpreted as an averaged uncertainty in the presence of symmetry elements from the group G in the given pattern. The informational measure of symmetry of the “ideal” pattern built of identical equilateral triangles is established as HsymD3=1.792. The informational measure of symmetry of the random, completely disordered pattern is zero, Hsym=0. Informational measure of symmetry is calculated for the patterns generated by the P3 Penrose tessellation. Informational measure of symmetry does not correlate neither with the Voronoi entropy of the studied patterns nor with the continuous measure of symmetry of the patterns.

The knitting methods for seamless garments based on four-needle bed computerized flat machine

Seamless garments reducing the cutting and sewing processes are created using seamless knitting technology. This type of garment, being less dependent on labor, is knitted as a whole and makes a great contribution to improving production efficiency. More importantly, seamless garments are more comfortable and natural compared with those styles produced by traditional technology. However, the techniques of seamless garments are huge and complex, making the pattern design process more difficult. In addition, the seamless knitting technology has great restrictions to the styles with rich shapes due to the limitation of the devices. Therefore, how to knit more complex styles using seamless knitting technology still faces great challenges. For these reasons, this study extensively investigated the knitting principle of seamless garments and proposed six knitting models for different kinds of garments. Then the transformation methods from 3D style to 2D pattern were explored respectively based on the knitting characteristics of each model. Finally, by package programming in the SDS-ONE APEX design system, the actual knitting for six types of garments was conducted on the computerized flat knitting machine. The results showed that different types of seamless garments have significant differences in the pattern design and the approaches proposed above can make different kinds of garments using seamless knitting technology.

BIOINSPIRED COMPUTATIONAL DESIGN: A CASE STUDY ON A 3D-PRINTED LAMP BASED ON THE PHYSALIS ALKEKENGI

Nature has always been a source of inspiration for designers and engineers, through the imitation of biological patterns and structures. This emulating and creative process is nowadays supported by technologies and tools as additive manufacturing and computational design. This paper describes the design and prototyping of a lamp inspired by a plant called Physalis Alkekengi, known as Chinese Lantern. We present the development of an algorithm, based on a computational model from literature, to realize the 2D pattern and leaves. They were then 3D printed to create the structure of the lamp and obtain an aesthetical and symbolic shading effect.

Cry Recognition for Infant Incubator Monitoring System Based on Internet of Things using Machine Learning

With the current technology trend of IoT and Smart Device, there is a possibility for the improvement of our infant incubator in responding to the real baby’s condition. This work is trying to see that possibility. First is by analyzing of open baby voice database. From there, a procedure to find out baby cry classification will be explained. The approach was starting with an analysis of sound’s power from that WAV files before going further into the 2D pattern, which will have features for the machine learning. From this work, around 85% accuracy could be achieved. Then together with sensors, it would be useful for infant incubator’s innovation by utilizing this proposed configuration.

Creating wounds in cell monolayers using micro-jets

Many wound-healing assays are used in cell biology and biomedicine; they are often labor intensive and/or require specialized and costly equipment. We describe a contactless method to create wounds with any imaginable 2D pattern in cell monolayers using micro-jets of either media or an immiscible and biocompatible fluorocarbon (i.e., FC40). We also combine this with another method that allows automation and multiplexing using standard Petri dishes. A dish is filled with a thin film of media overlaid with FC40, and the two liquids reshaped into an array of microchambers in minutes. Each chamber in such a grid is isolated from others by fluid walls of FC40. Cells are now added, allowed to grow into a monolayer, and wounds created using the microjets; then, healing is monitored by microscopy. As arrays of chambers can be made using the media and Petri dishes familiar to biologists, and as dishes fit seamlessly into their incubators, microscopes, and workflows, we anticipate this assay will find wide application in biomedicine.

Microscopic Study on Excitation and Emission Enhancement by the Plasmon Mode on a Plasmonic Chip

Excitation and emission enhancement by using the plasmon mode formed on a plasmonic chip was studied with a microscope and micro-spectroscope. Surface plasmon resonance wavelengths were observed on one-dimensional (1D) and two-dimensional (2D) plasmonic chips by measuring reflection and transmission spectra, and they were assigned to the plasmon modes predicted by the theoretical resonance wavelengths. The excitation and emission enhancements were evaluated using the fluorescence intensity of yellow–green fluorescence particles. The 2D grating had plasmon modes of kgx45(2) (diagonal direction with m = 2) in addition to the fundamental mode of kgx(1) (direction of a square one side) in the visible range. In epifluorescence detection, the excitation enhancement factors of kgx(2) on the 1D and 2D chips were found to be 1.3–1.4, and the emission enhancement factor of kgx45(2) on the 2D chip was 1.5–1.8, although the emission enhancement was not found on the 1D chip. Moreover, enhancement factors for the other fluorophores were also studied. The emission enhancement factor of kgx(1) was shown to depend on the fluorescence quantum yield. The emission enhancement of 2D was 1.3-fold larger than that of 1D considering all azimuth components, and the 2D pattern was shown to be advantageous for bright fluorescence microscopic observation.

Genetical control of 2D pattern and depth of the primordial furrow that prefigures 3D shape of the rhinoceros beetle horn

The head horn of the Asian rhinoceros beetle develops as an extensively folded primordium before unfurling into its final 3D shape at the pupal molt. The information of the final 3D structure of the beetle horn is prefigured in the folding pattern of the developing primordium. However, the developmental mechanism underlying epithelial folding of the primordium is unknown. In this study, we addressed this gap in our understanding of the developmental patterning of the 3D horn shape of beetles by focusing on the formation of furrows at the surface of the primordium that become the bifurcated 3D shape of the horn. By gene knockdown analysis via RNAi, we found that knockdown of the gene Notch disturbed overall horn primordial furrow depth without affecting the 2D furrow pattern. In contrast, knockdown of CyclinE altered 2D horn primordial furrow pattern without affecting furrow depth. Our results show how the depth and 2D pattern of primordial surface furrows are regulated at least partially independently during beetle horn development, and how both can alter the final 3D shape of the horn.

Graphene Domain Signature of Raman Spectra of sp2 Amorphous Carbons

The standard D-G-2D pattern of Raman spectra of sp2 amorphous carbons is considered from the viewpoint of graphene domains presenting their basic structure units (BSUs) in terms of molecular spectroscopy. The molecular approximation allows connecting the characteristic D-G doublet spectra image of one-phonon spectra with a considerable dispersion of the C=C bond lengths within graphene domains, governed by size, heteroatom necklace of BSUs as well as BSUs packing. The interpretation of 2D two-phonon spectra reveals a particular role of electrical anharmonicity in the spectra formation and attributes this effect to a high degree of the electron density delocalization in graphene domains. A size-stimulated transition from molecular to quasi-particle phonon consideration of Raman spectra was experimentally traced, which allowed evaluation of a free path of optical phonons in graphene crystal.

Conversion from 3D to 2D pattern algorithm for the 3D-shaped knitwear

PurposeThe purpose of this paper is to develop the relationship among the three-dimensional-shaped (3D) knitwear on the flat knitting machine in a three-dimensional (3D) design model and the corresponding knitting in a two-dimensional (2D) pattern.Design/methodology/approachTo do this, map functions are defined to convert the expression of the 3D-shaped knitwear to the horizontal and the vertical knitting. When the inverse functions of the map functions exist, one type is knitting in the 2D pattern can be determined with the aid of the knitwear expression in the 3D design model, when another type of knitting is in the 2D pattern.FindingsThe simulations indicate that the proposed scheme can implement the conversion from the 3D-shaped knitwear in the 3D design model to the corresponding knitting in the 2D pattern. In addition, the generated knitting by the proposed method can meet the technological requirements, which means that the knitting in the 2D pattern, converted by the proposed scheme, can be implemented in reality and the differences between the real knitwear can also be obtained as same as the map functions.Practical implicationsThe generated 2D pattern can facilitate accelerating the design development of the 3D-shaped knitwear. Meanwhile, after accomplishing the 3D design, the relationship between 2D patterns in the two knitting directions is established through map functions.Originality/valueMap functions proposed in this paper can be used in the 3D design model of the 3D-shaped knitwear so as to obtain the relatively accurate 2D paper appropriate for machine-knitting direction, which omits the process of designer's single 2D pattern after accomplishing the 3D design and saves the developing time.